As of this morning (11/3/2021 at 4:43 am US CST), this is the download situation:
On the consumer-side Edge download page, accessed via Windows 11, Edge-Linux is not a download option:
On the consumer-side Edge download page, accessed via Linux, Edge-Linux is not a direct download option, but can be indirectly accessed via a "Using Windows Server?" download option.
On the main screen, a splash above the download options box announces "Now on Linux", with a link:
Clicking on "Click to Download" opens this area of the screen:
Using the "Using Windows Server?" link, it is possible to download both the .deb and .rpm versions of Edge-Linux.
Edit/Update (11/3/2021 at 9:34 am US CST): The "Using Windows Server?" download links now appear on the Windows-accessed version of the consumer website. The dropdown box at the top of the page has not yet added a link to Edge-Linux.
On the business-side download page, Edge-Linux is available as a direct download option:
It is not at all clear, to say the least, what Microsoft is up to vis a vis Edge-Linux Stable downloads. It is entirely possible, I suppose, that Microsoft has not yet fully updated its consumer-side "Download Edge" pages, typical of Microsoft's fall-all-over-itself lack of coordination. But I wonder if Microsoft might be marketing Edge-Linux to focus on business/enterprise and developer use rather than Linux-on-the-desktop use. That -- and Microsoft's release of Edge-Linux only in .deb and .rpm formats -- would be consistent with Microsoft's apparent strategy of supporting Linux primarily for business use. Who knows?
A community-based project is likely to bring Edge-Linux Stable to Flathub at some point, but as far as I know, that has not yet happened.
At present, I think that it is fair to say that the situation is in flux.